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Finding the Third Proportional to 59,358 and 92,205

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Solution

The third proportional to 59,358 and 92,205 is: 143,228.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,358 : 92,205 = 92,205 : x
  2. Step 2: Convert to fraction form
    59,358/92,205 = 92,205/x
  3. Step 3: Cross multiply
    59,358x = 92,205 × 92,205
  4. Step 4: Simplify right side
    59,358x = 8,501,762,025
  5. Step 5: Solve for x
    x = 8,501,762,025/59,358
  6. Step 6: Final answer
    x = 143,228.58

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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.