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Finding the Third Proportional to 42,528 and 87,810

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Solution

The third proportional to 42,528 and 87,810 is: 181,306.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,528 : 87,810 = 87,810 : x
  2. Step 2: Convert to fraction form
    42,528/87,810 = 87,810/x
  3. Step 3: Cross multiply
    42,528x = 87,810 × 87,810
  4. Step 4: Simplify right side
    42,528x = 7,710,596,100
  5. Step 5: Solve for x
    x = 7,710,596,100/42,528
  6. Step 6: Final answer
    x = 181,306.34

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.