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Finding the Third Proportional to 113,506 and 159,076

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Solution

The third proportional to 113,506 and 159,076 is: 222,941.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,506 : 159,076 = 159,076 : x
  2. Step 2: Convert to fraction form
    113,506/159,076 = 159,076/x
  3. Step 3: Cross multiply
    113,506x = 159,076 × 159,076
  4. Step 4: Simplify right side
    113,506x = 25,305,173,776
  5. Step 5: Solve for x
    x = 25,305,173,776/113,506
  6. Step 6: Final answer
    x = 222,941.29

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.