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Finding the Third Proportional to 64,966.50 and 141,030

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Solution

The third proportional to 64,966.50 and 141,030 is: 306,149.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,966.50 : 141,030 = 141,030 : x
  2. Step 2: Convert to fraction form
    64,966.50/141,030 = 141,030/x
  3. Step 3: Cross multiply
    64,966.50x = 141,030 × 141,030
  4. Step 4: Simplify right side
    64,966.50x = 19,889,460,900
  5. Step 5: Solve for x
    x = 19,889,460,900/64,966.50
  6. Step 6: Final answer
    x = 306,149.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.