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Finding the Third Proportional to 92,702.50 and 198,527

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Solution

The third proportional to 92,702.50 and 198,527 is: 425,155.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,702.50 : 198,527 = 198,527 : x
  2. Step 2: Convert to fraction form
    92,702.50/198,527 = 198,527/x
  3. Step 3: Cross multiply
    92,702.50x = 198,527 × 198,527
  4. Step 4: Simplify right side
    92,702.50x = 39,412,969,729
  5. Step 5: Solve for x
    x = 39,412,969,729/92,702.50
  6. Step 6: Final answer
    x = 425,155.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.