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Finding the Third Proportional to 59,456 and 92,354

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Solution

The third proportional to 59,456 and 92,354 is: 143,455.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,456 : 92,354 = 92,354 : x
  2. Step 2: Convert to fraction form
    59,456/92,354 = 92,354/x
  3. Step 3: Cross multiply
    59,456x = 92,354 × 92,354
  4. Step 4: Simplify right side
    59,456x = 8,529,261,316
  5. Step 5: Solve for x
    x = 8,529,261,316/59,456
  6. Step 6: Final answer
    x = 143,455.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.