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Finding the Third Proportional to 137,051 and 210,926.50

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Solution

The third proportional to 137,051 and 210,926.50 is: 324,623.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,051 : 210,926.50 = 210,926.50 : x
  2. Step 2: Convert to fraction form
    137,051/210,926.50 = 210,926.50/x
  3. Step 3: Cross multiply
    137,051x = 210,926.50 × 210,926.50
  4. Step 4: Simplify right side
    137,051x = 44,489,988,402.25
  5. Step 5: Solve for x
    x = 44,489,988,402.25/137,051
  6. Step 6: Final answer
    x = 324,623.60

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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.