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Finding the Third Proportional to 137,592.84 and 210,492.84

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Solution

The third proportional to 137,592.84 and 210,492.84 is: 322,017.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,592.84 : 210,492.84 = 210,492.84 : x
  2. Step 2: Convert to fraction form
    137,592.84/210,492.84 = 210,492.84/x
  3. Step 3: Cross multiply
    137,592.84x = 210,492.84 × 210,492.84
  4. Step 4: Simplify right side
    137,592.84x = 44,307,237,269.96
  5. Step 5: Solve for x
    x = 44,307,237,269.96/137,592.84
  6. Step 6: Final answer
    x = 322,017.02

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.