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Finding the Third Proportional to 76,563 and 112,248

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Solution

The third proportional to 76,563 and 112,248 is: 164,565.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,563 : 112,248 = 112,248 : x
  2. Step 2: Convert to fraction form
    76,563/112,248 = 112,248/x
  3. Step 3: Cross multiply
    76,563x = 112,248 × 112,248
  4. Step 4: Simplify right side
    76,563x = 12,599,613,504
  5. Step 5: Solve for x
    x = 12,599,613,504/76,563
  6. Step 6: Final answer
    x = 164,565.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.