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Finding the Third Proportional to 66,533 and 97,853

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Solution

The third proportional to 66,533 and 97,853 is: 143,916.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,533 : 97,853 = 97,853 : x
  2. Step 2: Convert to fraction form
    66,533/97,853 = 97,853/x
  3. Step 3: Cross multiply
    66,533x = 97,853 × 97,853
  4. Step 4: Simplify right side
    66,533x = 9,575,209,609
  5. Step 5: Solve for x
    x = 9,575,209,609/66,533
  6. Step 6: Final answer
    x = 143,916.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.