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Finding the Third Proportional to 98,046 and 151,473

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Solution

The third proportional to 98,046 and 151,473 is: 234,013.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,046 : 151,473 = 151,473 : x
  2. Step 2: Convert to fraction form
    98,046/151,473 = 151,473/x
  3. Step 3: Cross multiply
    98,046x = 151,473 × 151,473
  4. Step 4: Simplify right side
    98,046x = 22,944,069,729
  5. Step 5: Solve for x
    x = 22,944,069,729/98,046
  6. Step 6: Final answer
    x = 234,013.32

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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.