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Finding the Third Proportional to 59,476 and 92,202

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Solution

The third proportional to 59,476 and 92,202 is: 142,935.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,476 : 92,202 = 92,202 : x
  2. Step 2: Convert to fraction form
    59,476/92,202 = 92,202/x
  3. Step 3: Cross multiply
    59,476x = 92,202 × 92,202
  4. Step 4: Simplify right side
    59,476x = 8,501,208,804
  5. Step 5: Solve for x
    x = 8,501,208,804/59,476
  6. Step 6: Final answer
    x = 142,935.11

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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.