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Finding the Third Proportional to 98,557 and 151,697

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Solution

The third proportional to 98,557 and 151,697 is: 233,489.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,557 : 151,697 = 151,697 : x
  2. Step 2: Convert to fraction form
    98,557/151,697 = 151,697/x
  3. Step 3: Cross multiply
    98,557x = 151,697 × 151,697
  4. Step 4: Simplify right side
    98,557x = 23,011,979,809
  5. Step 5: Solve for x
    x = 23,011,979,809/98,557
  6. Step 6: Final answer
    x = 233,489.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.