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Finding the Third Proportional to 61,509 and 100,437

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Solution

The third proportional to 61,509 and 100,437 is: 164,001.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,509 : 100,437 = 100,437 : x
  2. Step 2: Convert to fraction form
    61,509/100,437 = 100,437/x
  3. Step 3: Cross multiply
    61,509x = 100,437 × 100,437
  4. Step 4: Simplify right side
    61,509x = 10,087,590,969
  5. Step 5: Solve for x
    x = 10,087,590,969/61,509
  6. Step 6: Final answer
    x = 164,001.87

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.