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Finding the Third Proportional to 57,411.50 and 83,848.50

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Solution

The third proportional to 57,411.50 and 83,848.50 is: 122,459.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,411.50 : 83,848.50 = 83,848.50 : x
  2. Step 2: Convert to fraction form
    57,411.50/83,848.50 = 83,848.50/x
  3. Step 3: Cross multiply
    57,411.50x = 83,848.50 × 83,848.50
  4. Step 4: Simplify right side
    57,411.50x = 7,030,570,952.25
  5. Step 5: Solve for x
    x = 7,030,570,952.25/57,411.50
  6. Step 6: Final answer
    x = 122,459.28

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.