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Finding the Third Proportional to 56,352 and 82,896

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Solution

The third proportional to 56,352 and 82,896 is: 121,943.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,352 : 82,896 = 82,896 : x
  2. Step 2: Convert to fraction form
    56,352/82,896 = 82,896/x
  3. Step 3: Cross multiply
    56,352x = 82,896 × 82,896
  4. Step 4: Simplify right side
    56,352x = 6,871,746,816
  5. Step 5: Solve for x
    x = 6,871,746,816/56,352
  6. Step 6: Final answer
    x = 121,943.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.