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Finding the Third Proportional to 142,925.75 and 210,106.75

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Solution

The third proportional to 142,925.75 and 210,106.75 is: 308,865.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,925.75 : 210,106.75 = 210,106.75 : x
  2. Step 2: Convert to fraction form
    142,925.75/210,106.75 = 210,106.75/x
  3. Step 3: Cross multiply
    142,925.75x = 210,106.75 × 210,106.75
  4. Step 4: Simplify right side
    142,925.75x = 44,144,846,395.56
  5. Step 5: Solve for x
    x = 44,144,846,395.56/142,925.75
  6. Step 6: Final answer
    x = 308,865.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.