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Finding the Third Proportional to 98,559 and 154,432

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Solution

The third proportional to 98,559 and 154,432 is: 241,979.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,559 : 154,432 = 154,432 : x
  2. Step 2: Convert to fraction form
    98,559/154,432 = 154,432/x
  3. Step 3: Cross multiply
    98,559x = 154,432 × 154,432
  4. Step 4: Simplify right side
    98,559x = 23,849,242,624
  5. Step 5: Solve for x
    x = 23,849,242,624/98,559
  6. Step 6: Final answer
    x = 241,979.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.