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Finding the Third Proportional to 53,905.50 and 97,281

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Solution

The third proportional to 53,905.50 and 97,281 is: 175,558.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,905.50 : 97,281 = 97,281 : x
  2. Step 2: Convert to fraction form
    53,905.50/97,281 = 97,281/x
  3. Step 3: Cross multiply
    53,905.50x = 97,281 × 97,281
  4. Step 4: Simplify right side
    53,905.50x = 9,463,592,961
  5. Step 5: Solve for x
    x = 9,463,592,961/53,905.50
  6. Step 6: Final answer
    x = 175,558.95

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.