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Finding the Third Proportional to 99,702 and 153,248

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Solution

The third proportional to 99,702 and 153,248 is: 235,551.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,702 : 153,248 = 153,248 : x
  2. Step 2: Convert to fraction form
    99,702/153,248 = 153,248/x
  3. Step 3: Cross multiply
    99,702x = 153,248 × 153,248
  4. Step 4: Simplify right side
    99,702x = 23,484,949,504
  5. Step 5: Solve for x
    x = 23,484,949,504/99,702
  6. Step 6: Final answer
    x = 235,551.44

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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.