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Finding the Third Proportional to 71,312 and 110,044

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Solution

The third proportional to 71,312 and 110,044 is: 169,812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,312 : 110,044 = 110,044 : x
  2. Step 2: Convert to fraction form
    71,312/110,044 = 110,044/x
  3. Step 3: Cross multiply
    71,312x = 110,044 × 110,044
  4. Step 4: Simplify right side
    71,312x = 12,109,681,936
  5. Step 5: Solve for x
    x = 12,109,681,936/71,312
  6. Step 6: Final answer
    x = 169,812.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.