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Finding the Third Proportional to 94,220 and 141,532

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Solution

The third proportional to 94,220 and 141,532 is: 212,601.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,220 : 141,532 = 141,532 : x
  2. Step 2: Convert to fraction form
    94,220/141,532 = 141,532/x
  3. Step 3: Cross multiply
    94,220x = 141,532 × 141,532
  4. Step 4: Simplify right side
    94,220x = 20,031,307,024
  5. Step 5: Solve for x
    x = 20,031,307,024/94,220
  6. Step 6: Final answer
    x = 212,601.43

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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.