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Finding the Third Proportional to 45,030 and 97,986

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Solution

The third proportional to 45,030 and 97,986 is: 213,219.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,030 : 97,986 = 97,986 : x
  2. Step 2: Convert to fraction form
    45,030/97,986 = 97,986/x
  3. Step 3: Cross multiply
    45,030x = 97,986 × 97,986
  4. Step 4: Simplify right side
    45,030x = 9,601,256,196
  5. Step 5: Solve for x
    x = 9,601,256,196/45,030
  6. Step 6: Final answer
    x = 213,219.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.