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Finding the Third Proportional to 75,032 and 101,046

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Solution

The third proportional to 75,032 and 101,046 is: 136,079.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,032 : 101,046 = 101,046 : x
  2. Step 2: Convert to fraction form
    75,032/101,046 = 101,046/x
  3. Step 3: Cross multiply
    75,032x = 101,046 × 101,046
  4. Step 4: Simplify right side
    75,032x = 10,210,294,116
  5. Step 5: Solve for x
    x = 10,210,294,116/75,032
  6. Step 6: Final answer
    x = 136,079.19

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.