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Finding the Third Proportional to 62,258 and 97,275

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Solution

The third proportional to 62,258 and 97,275 is: 151,987.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,258 : 97,275 = 97,275 : x
  2. Step 2: Convert to fraction form
    62,258/97,275 = 97,275/x
  3. Step 3: Cross multiply
    62,258x = 97,275 × 97,275
  4. Step 4: Simplify right side
    62,258x = 9,462,425,625
  5. Step 5: Solve for x
    x = 9,462,425,625/62,258
  6. Step 6: Final answer
    x = 151,987.30

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.