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Finding the Third Proportional to 42,528 and 92,428

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Solution

The third proportional to 42,528 and 92,428 is: 200,877.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,528 : 92,428 = 92,428 : x
  2. Step 2: Convert to fraction form
    42,528/92,428 = 92,428/x
  3. Step 3: Cross multiply
    42,528x = 92,428 × 92,428
  4. Step 4: Simplify right side
    42,528x = 8,542,935,184
  5. Step 5: Solve for x
    x = 8,542,935,184/42,528
  6. Step 6: Final answer
    x = 200,877.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.