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Finding the Third Proportional to 91,554 and 141,688

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Solution

The third proportional to 91,554 and 141,688 is: 219,274.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,554 : 141,688 = 141,688 : x
  2. Step 2: Convert to fraction form
    91,554/141,688 = 141,688/x
  3. Step 3: Cross multiply
    91,554x = 141,688 × 141,688
  4. Step 4: Simplify right side
    91,554x = 20,075,489,344
  5. Step 5: Solve for x
    x = 20,075,489,344/91,554
  6. Step 6: Final answer
    x = 219,274.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.