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Finding the Third Proportional to 61,086 and 98,569.50

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Solution

The third proportional to 61,086 and 98,569.50 is: 159,053.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,086 : 98,569.50 = 98,569.50 : x
  2. Step 2: Convert to fraction form
    61,086/98,569.50 = 98,569.50/x
  3. Step 3: Cross multiply
    61,086x = 98,569.50 × 98,569.50
  4. Step 4: Simplify right side
    61,086x = 9,715,946,330.25
  5. Step 5: Solve for x
    x = 9,715,946,330.25/61,086
  6. Step 6: Final answer
    x = 159,053.57

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.