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Finding the Third Proportional to 107,258 and 157,763

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Solution

The third proportional to 107,258 and 157,763 is: 232,049.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,258 : 157,763 = 157,763 : x
  2. Step 2: Convert to fraction form
    107,258/157,763 = 157,763/x
  3. Step 3: Cross multiply
    107,258x = 157,763 × 157,763
  4. Step 4: Simplify right side
    107,258x = 24,889,164,169
  5. Step 5: Solve for x
    x = 24,889,164,169/107,258
  6. Step 6: Final answer
    x = 232,049.49

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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.