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Finding the Third Proportional to 76,479 and 112,459

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Solution

The third proportional to 76,479 and 112,459 is: 165,366.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,479 : 112,459 = 112,459 : x
  2. Step 2: Convert to fraction form
    76,479/112,459 = 112,459/x
  3. Step 3: Cross multiply
    76,479x = 112,459 × 112,459
  4. Step 4: Simplify right side
    76,479x = 12,647,026,681
  5. Step 5: Solve for x
    x = 12,647,026,681/76,479
  6. Step 6: Final answer
    x = 165,366.00

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.