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Finding the Third Proportional to 46,525 and 96,985

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Solution

The third proportional to 46,525 and 96,985 is: 202,172.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,525 : 96,985 = 96,985 : x
  2. Step 2: Convert to fraction form
    46,525/96,985 = 96,985/x
  3. Step 3: Cross multiply
    46,525x = 96,985 × 96,985
  4. Step 4: Simplify right side
    46,525x = 9,406,090,225
  5. Step 5: Solve for x
    x = 9,406,090,225/46,525
  6. Step 6: Final answer
    x = 202,172.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.