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Finding the Third Proportional to 97,458.19 and 118,234.69

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Solution

The third proportional to 97,458.19 and 118,234.69 is: 143,440.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,458.19 : 118,234.69 = 118,234.69 : x
  2. Step 2: Convert to fraction form
    97,458.19/118,234.69 = 118,234.69/x
  3. Step 3: Cross multiply
    97,458.19x = 118,234.69 × 118,234.69
  4. Step 4: Simplify right side
    97,458.19x = 13,979,441,328.22
  5. Step 5: Solve for x
    x = 13,979,441,328.22/97,458.19
  6. Step 6: Final answer
    x = 143,440.40

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.