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Finding the Third Proportional to 56,506 and 83,031

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Solution

The third proportional to 56,506 and 83,031 is: 122,007.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,506 : 83,031 = 83,031 : x
  2. Step 2: Convert to fraction form
    56,506/83,031 = 83,031/x
  3. Step 3: Cross multiply
    56,506x = 83,031 × 83,031
  4. Step 4: Simplify right side
    56,506x = 6,894,146,961
  5. Step 5: Solve for x
    x = 6,894,146,961/56,506
  6. Step 6: Final answer
    x = 122,007.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.