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Finding the Third Proportional to 59,300 and 92,352

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Solution

The third proportional to 59,300 and 92,352 is: 143,826.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,300 : 92,352 = 92,352 : x
  2. Step 2: Convert to fraction form
    59,300/92,352 = 92,352/x
  3. Step 3: Cross multiply
    59,300x = 92,352 × 92,352
  4. Step 4: Simplify right side
    59,300x = 8,528,891,904
  5. Step 5: Solve for x
    x = 8,528,891,904/59,300
  6. Step 6: Final answer
    x = 143,826.17

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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.