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Finding the Third Proportional to 43,386.75 and 95,076

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Solution

The third proportional to 43,386.75 and 95,076 is: 208,345.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,386.75 : 95,076 = 95,076 : x
  2. Step 2: Convert to fraction form
    43,386.75/95,076 = 95,076/x
  3. Step 3: Cross multiply
    43,386.75x = 95,076 × 95,076
  4. Step 4: Simplify right side
    43,386.75x = 9,039,445,776
  5. Step 5: Solve for x
    x = 9,039,445,776/43,386.75
  6. Step 6: Final answer
    x = 208,345.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.