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Finding the Third Proportional to 71,853.47 and 151,148.53

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Solution

The third proportional to 71,853.47 and 151,148.53 is: 317,950.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,853.47 : 151,148.53 = 151,148.53 : x
  2. Step 2: Convert to fraction form
    71,853.47/151,148.53 = 151,148.53/x
  3. Step 3: Cross multiply
    71,853.47x = 151,148.53 × 151,148.53
  4. Step 4: Simplify right side
    71,853.47x = 22,845,878,499.03
  5. Step 5: Solve for x
    x = 22,845,878,499.03/71,853.47
  6. Step 6: Final answer
    x = 317,950.95

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.