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Finding the Third Proportional to 53,484 and 83,184

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Solution

The third proportional to 53,484 and 83,184 is: 129,376.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,484 : 83,184 = 83,184 : x
  2. Step 2: Convert to fraction form
    53,484/83,184 = 83,184/x
  3. Step 3: Cross multiply
    53,484x = 83,184 × 83,184
  4. Step 4: Simplify right side
    53,484x = 6,919,577,856
  5. Step 5: Solve for x
    x = 6,919,577,856/53,484
  6. Step 6: Final answer
    x = 129,376.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.