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Finding the Third Proportional to 96,773 and 152,072

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Solution

The third proportional to 96,773 and 152,072 is: 238,970.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,773 : 152,072 = 152,072 : x
  2. Step 2: Convert to fraction form
    96,773/152,072 = 152,072/x
  3. Step 3: Cross multiply
    96,773x = 152,072 × 152,072
  4. Step 4: Simplify right side
    96,773x = 23,125,893,184
  5. Step 5: Solve for x
    x = 23,125,893,184/96,773
  6. Step 6: Final answer
    x = 238,970.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.