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Finding the Third Proportional to 129,130.50 and 197,395.50

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Solution

The third proportional to 129,130.50 and 197,395.50 is: 301,748.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,130.50 : 197,395.50 = 197,395.50 : x
  2. Step 2: Convert to fraction form
    129,130.50/197,395.50 = 197,395.50/x
  3. Step 3: Cross multiply
    129,130.50x = 197,395.50 × 197,395.50
  4. Step 4: Simplify right side
    129,130.50x = 38,964,983,420.25
  5. Step 5: Solve for x
    x = 38,964,983,420.25/129,130.50
  6. Step 6: Final answer
    x = 301,748.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.