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Finding the Third Proportional to 125,955 and 195,017.63

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Solution

The third proportional to 125,955 and 195,017.63 is: 301,948.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,955 : 195,017.63 = 195,017.63 : x
  2. Step 2: Convert to fraction form
    125,955/195,017.63 = 195,017.63/x
  3. Step 3: Cross multiply
    125,955x = 195,017.63 × 195,017.63
  4. Step 4: Simplify right side
    125,955x = 38,031,874,060.64
  5. Step 5: Solve for x
    x = 38,031,874,060.64/125,955
  6. Step 6: Final answer
    x = 301,948.11

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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.