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Finding the Third Proportional to 96,078 and 153,486

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Solution

The third proportional to 96,078 and 153,486 is: 245,196.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,078 : 153,486 = 153,486 : x
  2. Step 2: Convert to fraction form
    96,078/153,486 = 153,486/x
  3. Step 3: Cross multiply
    96,078x = 153,486 × 153,486
  4. Step 4: Simplify right side
    96,078x = 23,557,952,196
  5. Step 5: Solve for x
    x = 23,557,952,196/96,078
  6. Step 6: Final answer
    x = 245,196.11

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.