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Finding the Third Proportional to 42,120 and 97,506

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Solution

The third proportional to 42,120 and 97,506 is: 225,722.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,120 : 97,506 = 97,506 : x
  2. Step 2: Convert to fraction form
    42,120/97,506 = 97,506/x
  3. Step 3: Cross multiply
    42,120x = 97,506 × 97,506
  4. Step 4: Simplify right side
    42,120x = 9,507,420,036
  5. Step 5: Solve for x
    x = 9,507,420,036/42,120
  6. Step 6: Final answer
    x = 225,722.22

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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.