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Finding the Third Proportional to 77,523 and 119,943

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Solution

The third proportional to 77,523 and 119,943 is: 185,574.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,523 : 119,943 = 119,943 : x
  2. Step 2: Convert to fraction form
    77,523/119,943 = 119,943/x
  3. Step 3: Cross multiply
    77,523x = 119,943 × 119,943
  4. Step 4: Simplify right side
    77,523x = 14,386,323,249
  5. Step 5: Solve for x
    x = 14,386,323,249/77,523
  6. Step 6: Final answer
    x = 185,574.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.