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Finding the Third Proportional to 57,135 and 89,347.50

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Solution

The third proportional to 57,135 and 89,347.50 is: 139,721.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,135 : 89,347.50 = 89,347.50 : x
  2. Step 2: Convert to fraction form
    57,135/89,347.50 = 89,347.50/x
  3. Step 3: Cross multiply
    57,135x = 89,347.50 × 89,347.50
  4. Step 4: Simplify right side
    57,135x = 7,982,975,756.25
  5. Step 5: Solve for x
    x = 7,982,975,756.25/57,135
  6. Step 6: Final answer
    x = 139,721.29

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.