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Finding the Third Proportional to 76,308 and 112,255.13

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Solution

The third proportional to 76,308 and 112,255.13 is: 165,136.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,308 : 112,255.13 = 112,255.13 : x
  2. Step 2: Convert to fraction form
    76,308/112,255.13 = 112,255.13/x
  3. Step 3: Cross multiply
    76,308x = 112,255.13 × 112,255.13
  4. Step 4: Simplify right side
    76,308x = 12,601,213,088.77
  5. Step 5: Solve for x
    x = 12,601,213,088.77/76,308
  6. Step 6: Final answer
    x = 165,136.20

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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.