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Finding the Third Proportional to 59,451.47 and 92,826

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Solution

The third proportional to 59,451.47 and 92,826 is: 144,936.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,451.47 : 92,826 = 92,826 : x
  2. Step 2: Convert to fraction form
    59,451.47/92,826 = 92,826/x
  3. Step 3: Cross multiply
    59,451.47x = 92,826 × 92,826
  4. Step 4: Simplify right side
    59,451.47x = 8,616,666,276
  5. Step 5: Solve for x
    x = 8,616,666,276/59,451.47
  6. Step 6: Final answer
    x = 144,936.14

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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.