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Finding the Third Proportional to 92,045 and 145,485

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Solution

The third proportional to 92,045 and 145,485 is: 229,951.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,045 : 145,485 = 145,485 : x
  2. Step 2: Convert to fraction form
    92,045/145,485 = 145,485/x
  3. Step 3: Cross multiply
    92,045x = 145,485 × 145,485
  4. Step 4: Simplify right side
    92,045x = 21,165,885,225
  5. Step 5: Solve for x
    x = 21,165,885,225/92,045
  6. Step 6: Final answer
    x = 229,951.49

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.