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Finding the Third Proportional to 57,672 and 123,970.50

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Solution

The third proportional to 57,672 and 123,970.50 is: 266,484.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,672 : 123,970.50 = 123,970.50 : x
  2. Step 2: Convert to fraction form
    57,672/123,970.50 = 123,970.50/x
  3. Step 3: Cross multiply
    57,672x = 123,970.50 × 123,970.50
  4. Step 4: Simplify right side
    57,672x = 15,368,684,870.25
  5. Step 5: Solve for x
    x = 15,368,684,870.25/57,672
  6. Step 6: Final answer
    x = 266,484.34

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.