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Finding the Third Proportional to 91,918 and 147,475

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Solution

The third proportional to 91,918 and 147,475 is: 236,611.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,918 : 147,475 = 147,475 : x
  2. Step 2: Convert to fraction form
    91,918/147,475 = 147,475/x
  3. Step 3: Cross multiply
    91,918x = 147,475 × 147,475
  4. Step 4: Simplify right side
    91,918x = 21,748,875,625
  5. Step 5: Solve for x
    x = 21,748,875,625/91,918
  6. Step 6: Final answer
    x = 236,611.72

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.