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Finding the Third Proportional to 113,838.47 and 169,835.06

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Solution

The third proportional to 113,838.47 and 169,835.06 is: 253,376.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,838.47 : 169,835.06 = 169,835.06 : x
  2. Step 2: Convert to fraction form
    113,838.47/169,835.06 = 169,835.06/x
  3. Step 3: Cross multiply
    113,838.47x = 169,835.06 × 169,835.06
  4. Step 4: Simplify right side
    113,838.47x = 28,843,948,454.38
  5. Step 5: Solve for x
    x = 28,843,948,454.38/113,838.47
  6. Step 6: Final answer
    x = 253,376.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.