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Finding the Third Proportional to 32,470 and 69,124

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Solution

The third proportional to 32,470 and 69,124 is: 147,155.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,470 : 69,124 = 69,124 : x
  2. Step 2: Convert to fraction form
    32,470/69,124 = 69,124/x
  3. Step 3: Cross multiply
    32,470x = 69,124 × 69,124
  4. Step 4: Simplify right side
    32,470x = 4,778,127,376
  5. Step 5: Solve for x
    x = 4,778,127,376/32,470
  6. Step 6: Final answer
    x = 147,155.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.