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Finding the Third Proportional to 75,271.13 and 162,292.13

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Solution

The third proportional to 75,271.13 and 162,292.13 is: 349,918.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,271.13 : 162,292.13 = 162,292.13 : x
  2. Step 2: Convert to fraction form
    75,271.13/162,292.13 = 162,292.13/x
  3. Step 3: Cross multiply
    75,271.13x = 162,292.13 × 162,292.13
  4. Step 4: Simplify right side
    75,271.13x = 26,338,733,837.02
  5. Step 5: Solve for x
    x = 26,338,733,837.02/75,271.13
  6. Step 6: Final answer
    x = 349,918.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.