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Finding the Third Proportional to 61,158 and 86,123.63

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Solution

The third proportional to 61,158 and 86,123.63 is: 121,280.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,158 : 86,123.63 = 86,123.63 : x
  2. Step 2: Convert to fraction form
    61,158/86,123.63 = 86,123.63/x
  3. Step 3: Cross multiply
    61,158x = 86,123.63 × 86,123.63
  4. Step 4: Simplify right side
    61,158x = 7,417,278,783.14
  5. Step 5: Solve for x
    x = 7,417,278,783.14/61,158
  6. Step 6: Final answer
    x = 121,280.60

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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.