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Finding the Third Proportional to 104,064.75 and 148,705.88

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Solution

The third proportional to 104,064.75 and 148,705.88 is: 212,496.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,064.75 : 148,705.88 = 148,705.88 : x
  2. Step 2: Convert to fraction form
    104,064.75/148,705.88 = 148,705.88/x
  3. Step 3: Cross multiply
    104,064.75x = 148,705.88 × 148,705.88
  4. Step 4: Simplify right side
    104,064.75x = 22,113,437,259.52
  5. Step 5: Solve for x
    x = 22,113,437,259.52/104,064.75
  6. Step 6: Final answer
    x = 212,496.90

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.