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Finding the Third Proportional to 65,070 and 95,553

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Solution

The third proportional to 65,070 and 95,553 is: 140,316.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,070 : 95,553 = 95,553 : x
  2. Step 2: Convert to fraction form
    65,070/95,553 = 95,553/x
  3. Step 3: Cross multiply
    65,070x = 95,553 × 95,553
  4. Step 4: Simplify right side
    65,070x = 9,130,375,809
  5. Step 5: Solve for x
    x = 9,130,375,809/65,070
  6. Step 6: Final answer
    x = 140,316.21

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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.