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Finding the Third Proportional to 125,964 and 195,030.56

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Solution

The third proportional to 125,964 and 195,030.56 is: 301,966.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,964 : 195,030.56 = 195,030.56 : x
  2. Step 2: Convert to fraction form
    125,964/195,030.56 = 195,030.56/x
  3. Step 3: Cross multiply
    125,964x = 195,030.56 × 195,030.56
  4. Step 4: Simplify right side
    125,964x = 38,036,920,309.07
  5. Step 5: Solve for x
    x = 38,036,920,309.07/125,964
  6. Step 6: Final answer
    x = 301,966.60

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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.