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Finding the Third Proportional to 97,029 and 145,677

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Solution

The third proportional to 97,029 and 145,677 is: 218,715.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,029 : 145,677 = 145,677 : x
  2. Step 2: Convert to fraction form
    97,029/145,677 = 145,677/x
  3. Step 3: Cross multiply
    97,029x = 145,677 × 145,677
  4. Step 4: Simplify right side
    97,029x = 21,221,788,329
  5. Step 5: Solve for x
    x = 21,221,788,329/97,029
  6. Step 6: Final answer
    x = 218,715.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.