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Finding the Third Proportional to 53,293 and 88,818

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Solution

The third proportional to 53,293 and 88,818 is: 148,023.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,293 : 88,818 = 88,818 : x
  2. Step 2: Convert to fraction form
    53,293/88,818 = 88,818/x
  3. Step 3: Cross multiply
    53,293x = 88,818 × 88,818
  4. Step 4: Simplify right side
    53,293x = 7,888,637,124
  5. Step 5: Solve for x
    x = 7,888,637,124/53,293
  6. Step 6: Final answer
    x = 148,023.89

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.