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Finding the Third Proportional to 66,964 and 98,258

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Solution

The third proportional to 66,964 and 98,258 is: 144,176.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,964 : 98,258 = 98,258 : x
  2. Step 2: Convert to fraction form
    66,964/98,258 = 98,258/x
  3. Step 3: Cross multiply
    66,964x = 98,258 × 98,258
  4. Step 4: Simplify right side
    66,964x = 9,654,634,564
  5. Step 5: Solve for x
    x = 9,654,634,564/66,964
  6. Step 6: Final answer
    x = 144,176.49

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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.