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Finding the Third Proportional to 71,656 and 110,492

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Solution

The third proportional to 71,656 and 110,492 is: 170,376.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,656 : 110,492 = 110,492 : x
  2. Step 2: Convert to fraction form
    71,656/110,492 = 110,492/x
  3. Step 3: Cross multiply
    71,656x = 110,492 × 110,492
  4. Step 4: Simplify right side
    71,656x = 12,208,482,064
  5. Step 5: Solve for x
    x = 12,208,482,064/71,656
  6. Step 6: Final answer
    x = 170,376.27

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