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Finding the Third Proportional to 90,608 and 139,952

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Solution

The third proportional to 90,608 and 139,952 is: 216,168.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,608 : 139,952 = 139,952 : x
  2. Step 2: Convert to fraction form
    90,608/139,952 = 139,952/x
  3. Step 3: Cross multiply
    90,608x = 139,952 × 139,952
  4. Step 4: Simplify right side
    90,608x = 19,586,562,304
  5. Step 5: Solve for x
    x = 19,586,562,304/90,608
  6. Step 6: Final answer
    x = 216,168.13

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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.