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Finding the Third Proportional to 92,280 and 138,528

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Solution

The third proportional to 92,280 and 138,528 is: 207,954.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,280 : 138,528 = 138,528 : x
  2. Step 2: Convert to fraction form
    92,280/138,528 = 138,528/x
  3. Step 3: Cross multiply
    92,280x = 138,528 × 138,528
  4. Step 4: Simplify right side
    92,280x = 19,190,006,784
  5. Step 5: Solve for x
    x = 19,190,006,784/92,280
  6. Step 6: Final answer
    x = 207,954.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.