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Finding the Third Proportional to 59,123.50 and 136,732

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Solution

The third proportional to 59,123.50 and 136,732 is: 316,213.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,123.50 : 136,732 = 136,732 : x
  2. Step 2: Convert to fraction form
    59,123.50/136,732 = 136,732/x
  3. Step 3: Cross multiply
    59,123.50x = 136,732 × 136,732
  4. Step 4: Simplify right side
    59,123.50x = 18,695,639,824
  5. Step 5: Solve for x
    x = 18,695,639,824/59,123.50
  6. Step 6: Final answer
    x = 316,213.35

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.