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Finding the Third Proportional to 102,134.25 and 157,507.88

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Solution

The third proportional to 102,134.25 and 157,507.88 is: 242,903.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,134.25 : 157,507.88 = 157,507.88 : x
  2. Step 2: Convert to fraction form
    102,134.25/157,507.88 = 157,507.88/x
  3. Step 3: Cross multiply
    102,134.25x = 157,507.88 × 157,507.88
  4. Step 4: Simplify right side
    102,134.25x = 24,808,730,687.02
  5. Step 5: Solve for x
    x = 24,808,730,687.02/102,134.25
  6. Step 6: Final answer
    x = 242,903.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.