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Finding the Third Proportional to 76,677.50 and 116,395.75

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Solution

The third proportional to 76,677.50 and 116,395.75 is: 176,687.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,677.50 : 116,395.75 = 116,395.75 : x
  2. Step 2: Convert to fraction form
    76,677.50/116,395.75 = 116,395.75/x
  3. Step 3: Cross multiply
    76,677.50x = 116,395.75 × 116,395.75
  4. Step 4: Simplify right side
    76,677.50x = 13,547,970,618.06
  5. Step 5: Solve for x
    x = 13,547,970,618.06/76,677.50
  6. Step 6: Final answer
    x = 176,687.69

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Why These Related Problems?

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