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Finding the Third Proportional to 98,092 and 155,430

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Solution

The third proportional to 98,092 and 155,430 is: 246,283.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,092 : 155,430 = 155,430 : x
  2. Step 2: Convert to fraction form
    98,092/155,430 = 155,430/x
  3. Step 3: Cross multiply
    98,092x = 155,430 × 155,430
  4. Step 4: Simplify right side
    98,092x = 24,158,484,900
  5. Step 5: Solve for x
    x = 24,158,484,900/98,092
  6. Step 6: Final answer
    x = 246,283.95

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.