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Finding the Third Proportional to 61,646.06 and 80,600.06

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Solution

The third proportional to 61,646.06 and 80,600.06 is: 105,381.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,646.06 : 80,600.06 = 80,600.06 : x
  2. Step 2: Convert to fraction form
    61,646.06/80,600.06 = 80,600.06/x
  3. Step 3: Cross multiply
    61,646.06x = 80,600.06 × 80,600.06
  4. Step 4: Simplify right side
    61,646.06x = 6,496,370,075.00
  5. Step 5: Solve for x
    x = 6,496,370,075.00/61,646.06
  6. Step 6: Final answer
    x = 105,381.75

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.