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Finding the Third Proportional to 59,362 and 92,447

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Solution

The third proportional to 59,362 and 92,447 is: 143,971.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,362 : 92,447 = 92,447 : x
  2. Step 2: Convert to fraction form
    59,362/92,447 = 92,447/x
  3. Step 3: Cross multiply
    59,362x = 92,447 × 92,447
  4. Step 4: Simplify right side
    59,362x = 8,546,447,809
  5. Step 5: Solve for x
    x = 8,546,447,809/59,362
  6. Step 6: Final answer
    x = 143,971.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.