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Finding the Third Proportional to 76,677.19 and 116,395.31

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Solution

The third proportional to 76,677.19 and 116,395.31 is: 176,687.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,677.19 : 116,395.31 = 116,395.31 : x
  2. Step 2: Convert to fraction form
    76,677.19/116,395.31 = 116,395.31/x
  3. Step 3: Cross multiply
    76,677.19x = 116,395.31 × 116,395.31
  4. Step 4: Simplify right side
    76,677.19x = 13,547,868,771.97
  5. Step 5: Solve for x
    x = 13,547,868,771.97/76,677.19
  6. Step 6: Final answer
    x = 176,687.09

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