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Finding the Third Proportional to 98,822 and 145,623

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Solution

The third proportional to 98,822 and 145,623 is: 214,588.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,822 : 145,623 = 145,623 : x
  2. Step 2: Convert to fraction form
    98,822/145,623 = 145,623/x
  3. Step 3: Cross multiply
    98,822x = 145,623 × 145,623
  4. Step 4: Simplify right side
    98,822x = 21,206,058,129
  5. Step 5: Solve for x
    x = 21,206,058,129/98,822
  6. Step 6: Final answer
    x = 214,588.43

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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.