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Finding the Third Proportional to 91,947 and 124,798

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Solution

The third proportional to 91,947 and 124,798 is: 169,386.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,947 : 124,798 = 124,798 : x
  2. Step 2: Convert to fraction form
    91,947/124,798 = 124,798/x
  3. Step 3: Cross multiply
    91,947x = 124,798 × 124,798
  4. Step 4: Simplify right side
    91,947x = 15,574,540,804
  5. Step 5: Solve for x
    x = 15,574,540,804/91,947
  6. Step 6: Final answer
    x = 169,386.07

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.