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Finding the Third Proportional to 40,623 and 97,854

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Solution

The third proportional to 40,623 and 97,854 is: 235,713.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,623 : 97,854 = 97,854 : x
  2. Step 2: Convert to fraction form
    40,623/97,854 = 97,854/x
  3. Step 3: Cross multiply
    40,623x = 97,854 × 97,854
  4. Step 4: Simplify right side
    40,623x = 9,575,405,316
  5. Step 5: Solve for x
    x = 9,575,405,316/40,623
  6. Step 6: Final answer
    x = 235,713.89

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.