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Finding the Third Proportional to 45,360 and 97,281

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Solution

The third proportional to 45,360 and 97,281 is: 208,633.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,360 : 97,281 = 97,281 : x
  2. Step 2: Convert to fraction form
    45,360/97,281 = 97,281/x
  3. Step 3: Cross multiply
    45,360x = 97,281 × 97,281
  4. Step 4: Simplify right side
    45,360x = 9,463,592,961
  5. Step 5: Solve for x
    x = 9,463,592,961/45,360
  6. Step 6: Final answer
    x = 208,633.00

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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.