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Finding the Third Proportional to 89,444 and 139,053

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Solution

The third proportional to 89,444 and 139,053 is: 216,177.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,444 : 139,053 = 139,053 : x
  2. Step 2: Convert to fraction form
    89,444/139,053 = 139,053/x
  3. Step 3: Cross multiply
    89,444x = 139,053 × 139,053
  4. Step 4: Simplify right side
    89,444x = 19,335,736,809
  5. Step 5: Solve for x
    x = 19,335,736,809/89,444
  6. Step 6: Final answer
    x = 216,177.01

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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.