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Finding the Third Proportional to 59,310 and 92,367

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Solution

The third proportional to 59,310 and 92,367 is: 143,848.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,310 : 92,367 = 92,367 : x
  2. Step 2: Convert to fraction form
    59,310/92,367 = 92,367/x
  3. Step 3: Cross multiply
    59,310x = 92,367 × 92,367
  4. Step 4: Simplify right side
    59,310x = 8,531,662,689
  5. Step 5: Solve for x
    x = 8,531,662,689/59,310
  6. Step 6: Final answer
    x = 143,848.64

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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.