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Finding the Third Proportional to 136,202 and 210,047

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Solution

The third proportional to 136,202 and 210,047 is: 323,928.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,202 : 210,047 = 210,047 : x
  2. Step 2: Convert to fraction form
    136,202/210,047 = 210,047/x
  3. Step 3: Cross multiply
    136,202x = 210,047 × 210,047
  4. Step 4: Simplify right side
    136,202x = 44,119,742,209
  5. Step 5: Solve for x
    x = 44,119,742,209/136,202
  6. Step 6: Final answer
    x = 323,928.74

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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.