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Finding the Third Proportional to 134,292 and 197,726

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Solution

The third proportional to 134,292 and 197,726 is: 291,123.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,292 : 197,726 = 197,726 : x
  2. Step 2: Convert to fraction form
    134,292/197,726 = 197,726/x
  3. Step 3: Cross multiply
    134,292x = 197,726 × 197,726
  4. Step 4: Simplify right side
    134,292x = 39,095,571,076
  5. Step 5: Solve for x
    x = 39,095,571,076/134,292
  6. Step 6: Final answer
    x = 291,123.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.