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Finding the Third Proportional to 98,053 and 151,514

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Solution

The third proportional to 98,053 and 151,514 is: 234,123.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,053 : 151,514 = 151,514 : x
  2. Step 2: Convert to fraction form
    98,053/151,514 = 151,514/x
  3. Step 3: Cross multiply
    98,053x = 151,514 × 151,514
  4. Step 4: Simplify right side
    98,053x = 22,956,492,196
  5. Step 5: Solve for x
    x = 22,956,492,196/98,053
  6. Step 6: Final answer
    x = 234,123.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.