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Finding the Third Proportional to 71,971 and 112,644

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Solution

The third proportional to 71,971 and 112,644 is: 176,302.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,971 : 112,644 = 112,644 : x
  2. Step 2: Convert to fraction form
    71,971/112,644 = 112,644/x
  3. Step 3: Cross multiply
    71,971x = 112,644 × 112,644
  4. Step 4: Simplify right side
    71,971x = 12,688,670,736
  5. Step 5: Solve for x
    x = 12,688,670,736/71,971
  6. Step 6: Final answer
    x = 176,302.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.