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Finding the Third Proportional to 76,582 and 112,206

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Solution

The third proportional to 76,582 and 112,206 is: 164,401.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,582 : 112,206 = 112,206 : x
  2. Step 2: Convert to fraction form
    76,582/112,206 = 112,206/x
  3. Step 3: Cross multiply
    76,582x = 112,206 × 112,206
  4. Step 4: Simplify right side
    76,582x = 12,590,186,436
  5. Step 5: Solve for x
    x = 12,590,186,436/76,582
  6. Step 6: Final answer
    x = 164,401.38

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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.