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Finding the Third Proportional to 35,465 and 75,258

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Solution

The third proportional to 35,465 and 75,258 is: 159,700.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,465 : 75,258 = 75,258 : x
  2. Step 2: Convert to fraction form
    35,465/75,258 = 75,258/x
  3. Step 3: Cross multiply
    35,465x = 75,258 × 75,258
  4. Step 4: Simplify right side
    35,465x = 5,663,766,564
  5. Step 5: Solve for x
    x = 5,663,766,564/35,465
  6. Step 6: Final answer
    x = 159,700.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.