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Finding the Third Proportional to 102,130.88 and 147,328.88

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Solution

The third proportional to 102,130.88 and 147,328.88 is: 212,529.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,130.88 : 147,328.88 = 147,328.88 : x
  2. Step 2: Convert to fraction form
    102,130.88/147,328.88 = 147,328.88/x
  3. Step 3: Cross multiply
    102,130.88x = 147,328.88 × 147,328.88
  4. Step 4: Simplify right side
    102,130.88x = 21,705,797,408.77
  5. Step 5: Solve for x
    x = 21,705,797,408.77/102,130.88
  6. Step 6: Final answer
    x = 212,529.24

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.