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Finding the Third Proportional to 56,398 and 89,240

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Solution

The third proportional to 56,398 and 89,240 is: 141,206.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,398 : 89,240 = 89,240 : x
  2. Step 2: Convert to fraction form
    56,398/89,240 = 89,240/x
  3. Step 3: Cross multiply
    56,398x = 89,240 × 89,240
  4. Step 4: Simplify right side
    56,398x = 7,963,777,600
  5. Step 5: Solve for x
    x = 7,963,777,600/56,398
  6. Step 6: Final answer
    x = 141,206.74

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.