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Finding the Third Proportional to 117,934.13 and 157,123.13

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Solution

The third proportional to 117,934.13 and 157,123.13 is: 209,334.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,934.13 : 157,123.13 = 157,123.13 : x
  2. Step 2: Convert to fraction form
    117,934.13/157,123.13 = 157,123.13/x
  3. Step 3: Cross multiply
    117,934.13x = 157,123.13 × 157,123.13
  4. Step 4: Simplify right side
    117,934.13x = 24,687,676,409.77
  5. Step 5: Solve for x
    x = 24,687,676,409.77/117,934.13
  6. Step 6: Final answer
    x = 209,334.46

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.