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Finding the Third Proportional to 45,475 and 97,265

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Solution

The third proportional to 45,475 and 97,265 is: 208,036.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,475 : 97,265 = 97,265 : x
  2. Step 2: Convert to fraction form
    45,475/97,265 = 97,265/x
  3. Step 3: Cross multiply
    45,475x = 97,265 × 97,265
  4. Step 4: Simplify right side
    45,475x = 9,460,480,225
  5. Step 5: Solve for x
    x = 9,460,480,225/45,475
  6. Step 6: Final answer
    x = 208,036.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.