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Finding the Third Proportional to 92,207 and 139,157

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Solution

The third proportional to 92,207 and 139,157 is: 210,013.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,207 : 139,157 = 139,157 : x
  2. Step 2: Convert to fraction form
    92,207/139,157 = 139,157/x
  3. Step 3: Cross multiply
    92,207x = 139,157 × 139,157
  4. Step 4: Simplify right side
    92,207x = 19,364,670,649
  5. Step 5: Solve for x
    x = 19,364,670,649/92,207
  6. Step 6: Final answer
    x = 210,013.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.