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Finding the Third Proportional to 97,742 and 148,557

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Solution

The third proportional to 97,742 and 148,557 is: 225,790.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,742 : 148,557 = 148,557 : x
  2. Step 2: Convert to fraction form
    97,742/148,557 = 148,557/x
  3. Step 3: Cross multiply
    97,742x = 148,557 × 148,557
  4. Step 4: Simplify right side
    97,742x = 22,069,182,249
  5. Step 5: Solve for x
    x = 22,069,182,249/97,742
  6. Step 6: Final answer
    x = 225,790.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.