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Finding the Third Proportional to 136,702.13 and 210,763.13

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Solution

The third proportional to 136,702.13 and 210,763.13 is: 324,948.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,702.13 : 210,763.13 = 210,763.13 : x
  2. Step 2: Convert to fraction form
    136,702.13/210,763.13 = 210,763.13/x
  3. Step 3: Cross multiply
    136,702.13x = 210,763.13 × 210,763.13
  4. Step 4: Simplify right side
    136,702.13x = 44,421,094,859.77
  5. Step 5: Solve for x
    x = 44,421,094,859.77/136,702.13
  6. Step 6: Final answer
    x = 324,948.09

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