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Finding the Third Proportional to 74,413 and 115,075.50

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Solution

The third proportional to 74,413 and 115,075.50 is: 177,957.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,413 : 115,075.50 = 115,075.50 : x
  2. Step 2: Convert to fraction form
    74,413/115,075.50 = 115,075.50/x
  3. Step 3: Cross multiply
    74,413x = 115,075.50 × 115,075.50
  4. Step 4: Simplify right side
    74,413x = 13,242,370,700.25
  5. Step 5: Solve for x
    x = 13,242,370,700.25/74,413
  6. Step 6: Final answer
    x = 177,957.76

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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.