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Finding the Third Proportional to 57,970.13 and 92,214.56

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Solution

The third proportional to 57,970.13 and 92,214.56 is: 146,688.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,970.13 : 92,214.56 = 92,214.56 : x
  2. Step 2: Convert to fraction form
    57,970.13/92,214.56 = 92,214.56/x
  3. Step 3: Cross multiply
    57,970.13x = 92,214.56 × 92,214.56
  4. Step 4: Simplify right side
    57,970.13x = 8,503,525,537.07
  5. Step 5: Solve for x
    x = 8,503,525,537.07/57,970.13
  6. Step 6: Final answer
    x = 146,688.07

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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.