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Finding the Third Proportional to 76,446 and 112,417

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Solution

The third proportional to 76,446 and 112,417 is: 165,313.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,446 : 112,417 = 112,417 : x
  2. Step 2: Convert to fraction form
    76,446/112,417 = 112,417/x
  3. Step 3: Cross multiply
    76,446x = 112,417 × 112,417
  4. Step 4: Simplify right side
    76,446x = 12,637,581,889
  5. Step 5: Solve for x
    x = 12,637,581,889/76,446
  6. Step 6: Final answer
    x = 165,313.84

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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.