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Finding the Third Proportional to 61,422 and 86,458.50

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Solution

The third proportional to 61,422 and 86,458.50 is: 121,700.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,422 : 86,458.50 = 86,458.50 : x
  2. Step 2: Convert to fraction form
    61,422/86,458.50 = 86,458.50/x
  3. Step 3: Cross multiply
    61,422x = 86,458.50 × 86,458.50
  4. Step 4: Simplify right side
    61,422x = 7,475,072,222.25
  5. Step 5: Solve for x
    x = 7,475,072,222.25/61,422
  6. Step 6: Final answer
    x = 121,700.24

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.