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Finding the Third Proportional to 66,355 and 100,585

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Solution

The third proportional to 66,355 and 100,585 is: 152,472.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,355 : 100,585 = 100,585 : x
  2. Step 2: Convert to fraction form
    66,355/100,585 = 100,585/x
  3. Step 3: Cross multiply
    66,355x = 100,585 × 100,585
  4. Step 4: Simplify right side
    66,355x = 10,117,342,225
  5. Step 5: Solve for x
    x = 10,117,342,225/66,355
  6. Step 6: Final answer
    x = 152,472.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.