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Finding the Third Proportional to 105,786 and 160,623

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Solution

The third proportional to 105,786 and 160,623 is: 243,886.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,786 : 160,623 = 160,623 : x
  2. Step 2: Convert to fraction form
    105,786/160,623 = 160,623/x
  3. Step 3: Cross multiply
    105,786x = 160,623 × 160,623
  4. Step 4: Simplify right side
    105,786x = 25,799,748,129
  5. Step 5: Solve for x
    x = 25,799,748,129/105,786
  6. Step 6: Final answer
    x = 243,886.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.