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Finding the Third Proportional to 89,040 and 127,319

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Solution

The third proportional to 89,040 and 127,319 is: 182,054.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,040 : 127,319 = 127,319 : x
  2. Step 2: Convert to fraction form
    89,040/127,319 = 127,319/x
  3. Step 3: Cross multiply
    89,040x = 127,319 × 127,319
  4. Step 4: Simplify right side
    89,040x = 16,210,127,761
  5. Step 5: Solve for x
    x = 16,210,127,761/89,040
  6. Step 6: Final answer
    x = 182,054.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.