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Finding the Third Proportional to 59,416 and 92,768

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Solution

The third proportional to 59,416 and 92,768 is: 144,841.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,416 : 92,768 = 92,768 : x
  2. Step 2: Convert to fraction form
    59,416/92,768 = 92,768/x
  3. Step 3: Cross multiply
    59,416x = 92,768 × 92,768
  4. Step 4: Simplify right side
    59,416x = 8,605,901,824
  5. Step 5: Solve for x
    x = 8,605,901,824/59,416
  6. Step 6: Final answer
    x = 144,841.49

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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.