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Finding the Third Proportional to 76,030 and 118,014

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Solution

The third proportional to 76,030 and 118,014 is: 183,181.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,030 : 118,014 = 118,014 : x
  2. Step 2: Convert to fraction form
    76,030/118,014 = 118,014/x
  3. Step 3: Cross multiply
    76,030x = 118,014 × 118,014
  4. Step 4: Simplify right side
    76,030x = 13,927,304,196
  5. Step 5: Solve for x
    x = 13,927,304,196/76,030
  6. Step 6: Final answer
    x = 183,181.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.