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Finding the Third Proportional to 101,855.81 and 161,248.22

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Solution

The third proportional to 101,855.81 and 161,248.22 is: 255,272.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,855.81 : 161,248.22 = 161,248.22 : x
  2. Step 2: Convert to fraction form
    101,855.81/161,248.22 = 161,248.22/x
  3. Step 3: Cross multiply
    101,855.81x = 161,248.22 × 161,248.22
  4. Step 4: Simplify right side
    101,855.81x = 26,000,988,050.05
  5. Step 5: Solve for x
    x = 26,000,988,050.05/101,855.81
  6. Step 6: Final answer
    x = 255,272.50

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.