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Finding the Third Proportional to 53,332 and 76,216

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Solution

The third proportional to 53,332 and 76,216 is: 108,919.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,332 : 76,216 = 76,216 : x
  2. Step 2: Convert to fraction form
    53,332/76,216 = 76,216/x
  3. Step 3: Cross multiply
    53,332x = 76,216 × 76,216
  4. Step 4: Simplify right side
    53,332x = 5,808,878,656
  5. Step 5: Solve for x
    x = 5,808,878,656/53,332
  6. Step 6: Final answer
    x = 108,919.20

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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.