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Finding the Third Proportional to 59,312 and 92,253

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Solution

The third proportional to 59,312 and 92,253 is: 143,488.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,312 : 92,253 = 92,253 : x
  2. Step 2: Convert to fraction form
    59,312/92,253 = 92,253/x
  3. Step 3: Cross multiply
    59,312x = 92,253 × 92,253
  4. Step 4: Simplify right side
    59,312x = 8,510,616,009
  5. Step 5: Solve for x
    x = 8,510,616,009/59,312
  6. Step 6: Final answer
    x = 143,488.94

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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.