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Finding the Third Proportional to 98,580 and 151,526

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Solution

The third proportional to 98,580 and 151,526 is: 232,908.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,580 : 151,526 = 151,526 : x
  2. Step 2: Convert to fraction form
    98,580/151,526 = 151,526/x
  3. Step 3: Cross multiply
    98,580x = 151,526 × 151,526
  4. Step 4: Simplify right side
    98,580x = 22,960,128,676
  5. Step 5: Solve for x
    x = 22,960,128,676/98,580
  6. Step 6: Final answer
    x = 232,908.59

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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.