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Finding the Third Proportional to 63,030 and 134,403

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Solution

The third proportional to 63,030 and 134,403 is: 286,596.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,030 : 134,403 = 134,403 : x
  2. Step 2: Convert to fraction form
    63,030/134,403 = 134,403/x
  3. Step 3: Cross multiply
    63,030x = 134,403 × 134,403
  4. Step 4: Simplify right side
    63,030x = 18,064,166,409
  5. Step 5: Solve for x
    x = 18,064,166,409/63,030
  6. Step 6: Final answer
    x = 286,596.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.