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Finding the Third Proportional to 62,308 and 99,190

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Solution

The third proportional to 62,308 and 99,190 is: 157,903.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,308 : 99,190 = 99,190 : x
  2. Step 2: Convert to fraction form
    62,308/99,190 = 99,190/x
  3. Step 3: Cross multiply
    62,308x = 99,190 × 99,190
  4. Step 4: Simplify right side
    62,308x = 9,838,656,100
  5. Step 5: Solve for x
    x = 9,838,656,100/62,308
  6. Step 6: Final answer
    x = 157,903.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.