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Finding the Third Proportional to 71,985.38 and 115,006.50

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Solution

The third proportional to 71,985.38 and 115,006.50 is: 183,738.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,985.38 : 115,006.50 = 115,006.50 : x
  2. Step 2: Convert to fraction form
    71,985.38/115,006.50 = 115,006.50/x
  3. Step 3: Cross multiply
    71,985.38x = 115,006.50 × 115,006.50
  4. Step 4: Simplify right side
    71,985.38x = 13,226,495,042.25
  5. Step 5: Solve for x
    x = 13,226,495,042.25/71,985.38
  6. Step 6: Final answer
    x = 183,738.64

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.