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Finding the Third Proportional to 76,030 and 117,033

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Solution

The third proportional to 76,030 and 117,033 is: 180,148.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,030 : 117,033 = 117,033 : x
  2. Step 2: Convert to fraction form
    76,030/117,033 = 117,033/x
  3. Step 3: Cross multiply
    76,030x = 117,033 × 117,033
  4. Step 4: Simplify right side
    76,030x = 13,696,723,089
  5. Step 5: Solve for x
    x = 13,696,723,089/76,030
  6. Step 6: Final answer
    x = 180,148.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.