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Finding the Third Proportional to 59,368 and 94,668

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Solution

The third proportional to 59,368 and 94,668 is: 150,957.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,368 : 94,668 = 94,668 : x
  2. Step 2: Convert to fraction form
    59,368/94,668 = 94,668/x
  3. Step 3: Cross multiply
    59,368x = 94,668 × 94,668
  4. Step 4: Simplify right side
    59,368x = 8,962,030,224
  5. Step 5: Solve for x
    x = 8,962,030,224/59,368
  6. Step 6: Final answer
    x = 150,957.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.