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Finding the Third Proportional to 86,356.13 and 116,776.69

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Solution

The third proportional to 86,356.13 and 116,776.69 is: 157,913.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,356.13 : 116,776.69 = 116,776.69 : x
  2. Step 2: Convert to fraction form
    86,356.13/116,776.69 = 116,776.69/x
  3. Step 3: Cross multiply
    86,356.13x = 116,776.69 × 116,776.69
  4. Step 4: Simplify right side
    86,356.13x = 13,636,794,743.47
  5. Step 5: Solve for x
    x = 13,636,794,743.47/86,356.13
  6. Step 6: Final answer
    x = 157,913.46

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.