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Finding the Third Proportional to 78,042 and 111,528

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Solution

The third proportional to 78,042 and 111,528 is: 159,382.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,042 : 111,528 = 111,528 : x
  2. Step 2: Convert to fraction form
    78,042/111,528 = 111,528/x
  3. Step 3: Cross multiply
    78,042x = 111,528 × 111,528
  4. Step 4: Simplify right side
    78,042x = 12,438,494,784
  5. Step 5: Solve for x
    x = 12,438,494,784/78,042
  6. Step 6: Final answer
    x = 159,382.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.