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Finding the Third Proportional to 53,205 and 88,675.13

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Solution

The third proportional to 53,205 and 88,675.13 is: 147,792.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,205 : 88,675.13 = 88,675.13 : x
  2. Step 2: Convert to fraction form
    53,205/88,675.13 = 88,675.13/x
  3. Step 3: Cross multiply
    53,205x = 88,675.13 × 88,675.13
  4. Step 4: Simplify right side
    53,205x = 7,863,277,793.77
  5. Step 5: Solve for x
    x = 7,863,277,793.77/53,205
  6. Step 6: Final answer
    x = 147,792.08

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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.