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Finding the Third Proportional to 71,024.34 and 157,813.95

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Solution

The third proportional to 71,024.34 and 157,813.95 is: 350,657.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,024.34 : 157,813.95 = 157,813.95 : x
  2. Step 2: Convert to fraction form
    71,024.34/157,813.95 = 157,813.95/x
  3. Step 3: Cross multiply
    71,024.34x = 157,813.95 × 157,813.95
  4. Step 4: Simplify right side
    71,024.34x = 24,905,241,335.10
  5. Step 5: Solve for x
    x = 24,905,241,335.10/71,024.34
  6. Step 6: Final answer
    x = 350,657.82

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.