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Finding the Third Proportional to 98,701.13 and 158,953.13

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Solution

The third proportional to 98,701.13 and 158,953.13 is: 255,985.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,701.13 : 158,953.13 = 158,953.13 : x
  2. Step 2: Convert to fraction form
    98,701.13/158,953.13 = 158,953.13/x
  3. Step 3: Cross multiply
    98,701.13x = 158,953.13 × 158,953.13
  4. Step 4: Simplify right side
    98,701.13x = 25,266,095,947.27
  5. Step 5: Solve for x
    x = 25,266,095,947.27/98,701.13
  6. Step 6: Final answer
    x = 255,985.90

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.