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Finding the Third Proportional to 91,929.94 and 140,567.91

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Solution

The third proportional to 91,929.94 and 140,567.91 is: 214,939.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,929.94 : 140,567.91 = 140,567.91 : x
  2. Step 2: Convert to fraction form
    91,929.94/140,567.91 = 140,567.91/x
  3. Step 3: Cross multiply
    91,929.94x = 140,567.91 × 140,567.91
  4. Step 4: Simplify right side
    91,929.94x = 19,759,336,267.51
  5. Step 5: Solve for x
    x = 19,759,336,267.51/91,929.94
  6. Step 6: Final answer
    x = 214,939.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.