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Finding the Third Proportional to 64,344.57 and 97,828.74

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Solution

The third proportional to 64,344.57 and 97,828.74 is: 148,737.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,344.57 : 97,828.74 = 97,828.74 : x
  2. Step 2: Convert to fraction form
    64,344.57/97,828.74 = 97,828.74/x
  3. Step 3: Cross multiply
    64,344.57x = 97,828.74 × 97,828.74
  4. Step 4: Simplify right side
    64,344.57x = 9,570,462,129.24
  5. Step 5: Solve for x
    x = 9,570,462,129.24/64,344.57
  6. Step 6: Final answer
    x = 148,737.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.