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Finding the Third Proportional to 109,712 and 236,070

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Solution

The third proportional to 109,712 and 236,070 is: 507,957.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,712 : 236,070 = 236,070 : x
  2. Step 2: Convert to fraction form
    109,712/236,070 = 236,070/x
  3. Step 3: Cross multiply
    109,712x = 236,070 × 236,070
  4. Step 4: Simplify right side
    109,712x = 55,729,044,900
  5. Step 5: Solve for x
    x = 55,729,044,900/109,712
  6. Step 6: Final answer
    x = 507,957.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.