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Finding the Third Proportional to 46,535 and 97,003

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Solution

The third proportional to 46,535 and 97,003 is: 202,204.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,535 : 97,003 = 97,003 : x
  2. Step 2: Convert to fraction form
    46,535/97,003 = 97,003/x
  3. Step 3: Cross multiply
    46,535x = 97,003 × 97,003
  4. Step 4: Simplify right side
    46,535x = 9,409,582,009
  5. Step 5: Solve for x
    x = 9,409,582,009/46,535
  6. Step 6: Final answer
    x = 202,204.41

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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.