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Finding the Third Proportional to 107,712 and 169,410

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Solution

The third proportional to 107,712 and 169,410 is: 266,448.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,712 : 169,410 = 169,410 : x
  2. Step 2: Convert to fraction form
    107,712/169,410 = 169,410/x
  3. Step 3: Cross multiply
    107,712x = 169,410 × 169,410
  4. Step 4: Simplify right side
    107,712x = 28,699,748,100
  5. Step 5: Solve for x
    x = 28,699,748,100/107,712
  6. Step 6: Final answer
    x = 266,448.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.