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Finding the Third Proportional to 78,165.75 and 118,828.13

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Solution

The third proportional to 78,165.75 and 118,828.13 is: 180,643.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,165.75 : 118,828.13 = 118,828.13 : x
  2. Step 2: Convert to fraction form
    78,165.75/118,828.13 = 118,828.13/x
  3. Step 3: Cross multiply
    78,165.75x = 118,828.13 × 118,828.13
  4. Step 4: Simplify right side
    78,165.75x = 14,120,123,291.02
  5. Step 5: Solve for x
    x = 14,120,123,291.02/78,165.75
  6. Step 6: Final answer
    x = 180,643.35

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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.