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Finding the Third Proportional to 59,368 and 92,332

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Solution

The third proportional to 59,368 and 92,332 is: 143,599.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,368 : 92,332 = 92,332 : x
  2. Step 2: Convert to fraction form
    59,368/92,332 = 92,332/x
  3. Step 3: Cross multiply
    59,368x = 92,332 × 92,332
  4. Step 4: Simplify right side
    59,368x = 8,525,198,224
  5. Step 5: Solve for x
    x = 8,525,198,224/59,368
  6. Step 6: Final answer
    x = 143,599.22

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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.