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Finding the Third Proportional to 66,943 and 103,655.50

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Solution

The third proportional to 66,943 and 103,655.50 is: 160,501.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,943 : 103,655.50 = 103,655.50 : x
  2. Step 2: Convert to fraction form
    66,943/103,655.50 = 103,655.50/x
  3. Step 3: Cross multiply
    66,943x = 103,655.50 × 103,655.50
  4. Step 4: Simplify right side
    66,943x = 10,744,462,680.25
  5. Step 5: Solve for x
    x = 10,744,462,680.25/66,943
  6. Step 6: Final answer
    x = 160,501.66

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.