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Finding the Third Proportional to 66,352.50 and 105,539.63

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Solution

The third proportional to 66,352.50 and 105,539.63 is: 167,870.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,352.50 : 105,539.63 = 105,539.63 : x
  2. Step 2: Convert to fraction form
    66,352.50/105,539.63 = 105,539.63/x
  3. Step 3: Cross multiply
    66,352.50x = 105,539.63 × 105,539.63
  4. Step 4: Simplify right side
    66,352.50x = 11,138,612,445.14
  5. Step 5: Solve for x
    x = 11,138,612,445.14/66,352.50
  6. Step 6: Final answer
    x = 167,870.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.