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Finding the Third Proportional to 65,677.50 and 104,014.13

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Solution

The third proportional to 65,677.50 and 104,014.13 is: 164,728.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,677.50 : 104,014.13 = 104,014.13 : x
  2. Step 2: Convert to fraction form
    65,677.50/104,014.13 = 104,014.13/x
  3. Step 3: Cross multiply
    65,677.50x = 104,014.13 × 104,014.13
  4. Step 4: Simplify right side
    65,677.50x = 10,818,938,199.52
  5. Step 5: Solve for x
    x = 10,818,938,199.52/65,677.50
  6. Step 6: Final answer
    x = 164,728.23

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.