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Finding the Third Proportional to 60,926 and 141,031

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Solution

The third proportional to 60,926 and 141,031 is: 326,457.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,926 : 141,031 = 141,031 : x
  2. Step 2: Convert to fraction form
    60,926/141,031 = 141,031/x
  3. Step 3: Cross multiply
    60,926x = 141,031 × 141,031
  4. Step 4: Simplify right side
    60,926x = 19,889,742,961
  5. Step 5: Solve for x
    x = 19,889,742,961/60,926
  6. Step 6: Final answer
    x = 326,457.39

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.