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Finding the Third Proportional to 142,913 and 210,093

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Solution

The third proportional to 142,913 and 210,093 is: 308,852.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,913 : 210,093 = 210,093 : x
  2. Step 2: Convert to fraction form
    142,913/210,093 = 210,093/x
  3. Step 3: Cross multiply
    142,913x = 210,093 × 210,093
  4. Step 4: Simplify right side
    142,913x = 44,139,068,649
  5. Step 5: Solve for x
    x = 44,139,068,649/142,913
  6. Step 6: Final answer
    x = 308,852.72

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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.