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Finding the Third Proportional to 71,232 and 152,346

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Solution

The third proportional to 71,232 and 152,346 is: 325,826.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,232 : 152,346 = 152,346 : x
  2. Step 2: Convert to fraction form
    71,232/152,346 = 152,346/x
  3. Step 3: Cross multiply
    71,232x = 152,346 × 152,346
  4. Step 4: Simplify right side
    71,232x = 23,209,303,716
  5. Step 5: Solve for x
    x = 23,209,303,716/71,232
  6. Step 6: Final answer
    x = 325,826.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.