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Finding the Third Proportional to 111,475 and 169,342

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Solution

The third proportional to 111,475 and 169,342 is: 257,247.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,475 : 169,342 = 169,342 : x
  2. Step 2: Convert to fraction form
    111,475/169,342 = 169,342/x
  3. Step 3: Cross multiply
    111,475x = 169,342 × 169,342
  4. Step 4: Simplify right side
    111,475x = 28,676,712,964
  5. Step 5: Solve for x
    x = 28,676,712,964/111,475
  6. Step 6: Final answer
    x = 257,247.93

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.