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Finding the Third Proportional to 95,283 and 125,293.50

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Solution

The third proportional to 95,283 and 125,293.50 is: 164,756.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,283 : 125,293.50 = 125,293.50 : x
  2. Step 2: Convert to fraction form
    95,283/125,293.50 = 125,293.50/x
  3. Step 3: Cross multiply
    95,283x = 125,293.50 × 125,293.50
  4. Step 4: Simplify right side
    95,283x = 15,698,461,142.25
  5. Step 5: Solve for x
    x = 15,698,461,142.25/95,283
  6. Step 6: Final answer
    x = 164,756.16

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.