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Finding the Third Proportional to 77,484 and 119,730

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Solution

The third proportional to 77,484 and 119,730 is: 185,009.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,484 : 119,730 = 119,730 : x
  2. Step 2: Convert to fraction form
    77,484/119,730 = 119,730/x
  3. Step 3: Cross multiply
    77,484x = 119,730 × 119,730
  4. Step 4: Simplify right side
    77,484x = 14,335,272,900
  5. Step 5: Solve for x
    x = 14,335,272,900/77,484
  6. Step 6: Final answer
    x = 185,009.46

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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.