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Finding the Third Proportional to 45,191 and 69,130.50

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Solution

The third proportional to 45,191 and 69,130.50 is: 105,751.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,191 : 69,130.50 = 69,130.50 : x
  2. Step 2: Convert to fraction form
    45,191/69,130.50 = 69,130.50/x
  3. Step 3: Cross multiply
    45,191x = 69,130.50 × 69,130.50
  4. Step 4: Simplify right side
    45,191x = 4,779,026,030.25
  5. Step 5: Solve for x
    x = 4,779,026,030.25/45,191
  6. Step 6: Final answer
    x = 105,751.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.