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Finding the Third Proportional to 99,246 and 153,714

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Solution

The third proportional to 99,246 and 153,714 is: 238,075.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,246 : 153,714 = 153,714 : x
  2. Step 2: Convert to fraction form
    99,246/153,714 = 153,714/x
  3. Step 3: Cross multiply
    99,246x = 153,714 × 153,714
  4. Step 4: Simplify right side
    99,246x = 23,627,993,796
  5. Step 5: Solve for x
    x = 23,627,993,796/99,246
  6. Step 6: Final answer
    x = 238,075.02

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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.