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Finding the Third Proportional to 96,575 and 142,070

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Solution

The third proportional to 96,575 and 142,070 is: 208,997.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,575 : 142,070 = 142,070 : x
  2. Step 2: Convert to fraction form
    96,575/142,070 = 142,070/x
  3. Step 3: Cross multiply
    96,575x = 142,070 × 142,070
  4. Step 4: Simplify right side
    96,575x = 20,183,884,900
  5. Step 5: Solve for x
    x = 20,183,884,900/96,575
  6. Step 6: Final answer
    x = 208,997.00

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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.