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Finding the Third Proportional to 53,703 and 88,330.50

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Solution

The third proportional to 53,703 and 88,330.50 is: 145,285.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,703 : 88,330.50 = 88,330.50 : x
  2. Step 2: Convert to fraction form
    53,703/88,330.50 = 88,330.50/x
  3. Step 3: Cross multiply
    53,703x = 88,330.50 × 88,330.50
  4. Step 4: Simplify right side
    53,703x = 7,802,277,230.25
  5. Step 5: Solve for x
    x = 7,802,277,230.25/53,703
  6. Step 6: Final answer
    x = 145,285.69

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.