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Finding the Third Proportional to 135,258 and 202,113

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Solution

The third proportional to 135,258 and 202,113 is: 302,012.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,258 : 202,113 = 202,113 : x
  2. Step 2: Convert to fraction form
    135,258/202,113 = 202,113/x
  3. Step 3: Cross multiply
    135,258x = 202,113 × 202,113
  4. Step 4: Simplify right side
    135,258x = 40,849,664,769
  5. Step 5: Solve for x
    x = 40,849,664,769/135,258
  6. Step 6: Final answer
    x = 302,012.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.