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Finding the Third Proportional to 57,460.50 and 133,528.50

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Solution

The third proportional to 57,460.50 and 133,528.50 is: 310,297.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,460.50 : 133,528.50 = 133,528.50 : x
  2. Step 2: Convert to fraction form
    57,460.50/133,528.50 = 133,528.50/x
  3. Step 3: Cross multiply
    57,460.50x = 133,528.50 × 133,528.50
  4. Step 4: Simplify right side
    57,460.50x = 17,829,860,312.25
  5. Step 5: Solve for x
    x = 17,829,860,312.25/57,460.50
  6. Step 6: Final answer
    x = 310,297.69

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.