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Finding the Third Proportional to 78,966.75 and 172,695.75

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Solution

The third proportional to 78,966.75 and 172,695.75 is: 377,675.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,966.75 : 172,695.75 = 172,695.75 : x
  2. Step 2: Convert to fraction form
    78,966.75/172,695.75 = 172,695.75/x
  3. Step 3: Cross multiply
    78,966.75x = 172,695.75 × 172,695.75
  4. Step 4: Simplify right side
    78,966.75x = 29,823,822,068.06
  5. Step 5: Solve for x
    x = 29,823,822,068.06/78,966.75
  6. Step 6: Final answer
    x = 377,675.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.