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Finding the Third Proportional to 48,258 and 74,214

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Solution

The third proportional to 48,258 and 74,214 is: 114,130.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,258 : 74,214 = 74,214 : x
  2. Step 2: Convert to fraction form
    48,258/74,214 = 74,214/x
  3. Step 3: Cross multiply
    48,258x = 74,214 × 74,214
  4. Step 4: Simplify right side
    48,258x = 5,507,717,796
  5. Step 5: Solve for x
    x = 5,507,717,796/48,258
  6. Step 6: Final answer
    x = 114,130.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.