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Finding the Third Proportional to 98,572 and 151,666

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Solution

The third proportional to 98,572 and 151,666 is: 233,358.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,572 : 151,666 = 151,666 : x
  2. Step 2: Convert to fraction form
    98,572/151,666 = 151,666/x
  3. Step 3: Cross multiply
    98,572x = 151,666 × 151,666
  4. Step 4: Simplify right side
    98,572x = 23,002,575,556
  5. Step 5: Solve for x
    x = 23,002,575,556/98,572
  6. Step 6: Final answer
    x = 233,358.11

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