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Finding the Third Proportional to 76,312 and 112,261

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Solution

The third proportional to 76,312 and 112,261 is: 165,144.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,312 : 112,261 = 112,261 : x
  2. Step 2: Convert to fraction form
    76,312/112,261 = 112,261/x
  3. Step 3: Cross multiply
    76,312x = 112,261 × 112,261
  4. Step 4: Simplify right side
    76,312x = 12,602,532,121
  5. Step 5: Solve for x
    x = 12,602,532,121/76,312
  6. Step 6: Final answer
    x = 165,144.83

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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.