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Finding the Third Proportional to 72,586.13 and 170,780.06

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Solution

The third proportional to 72,586.13 and 170,780.06 is: 401,809.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,586.13 : 170,780.06 = 170,780.06 : x
  2. Step 2: Convert to fraction form
    72,586.13/170,780.06 = 170,780.06/x
  3. Step 3: Cross multiply
    72,586.13x = 170,780.06 × 170,780.06
  4. Step 4: Simplify right side
    72,586.13x = 29,165,829,747.50
  5. Step 5: Solve for x
    x = 29,165,829,747.50/72,586.13
  6. Step 6: Final answer
    x = 401,809.98

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.