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Finding the Third Proportional to 105,886.50 and 159,064.13

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Solution

The third proportional to 105,886.50 and 159,064.13 is: 238,948.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,886.50 : 159,064.13 = 159,064.13 : x
  2. Step 2: Convert to fraction form
    105,886.50/159,064.13 = 159,064.13/x
  3. Step 3: Cross multiply
    105,886.50x = 159,064.13 × 159,064.13
  4. Step 4: Simplify right side
    105,886.50x = 25,301,395,862.02
  5. Step 5: Solve for x
    x = 25,301,395,862.02/105,886.50
  6. Step 6: Final answer
    x = 238,948.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.