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Finding the Third Proportional to 59,346 and 90,784.50

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Solution

The third proportional to 59,346 and 90,784.50 is: 138,877.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,346 : 90,784.50 = 90,784.50 : x
  2. Step 2: Convert to fraction form
    59,346/90,784.50 = 90,784.50/x
  3. Step 3: Cross multiply
    59,346x = 90,784.50 × 90,784.50
  4. Step 4: Simplify right side
    59,346x = 8,241,825,440.25
  5. Step 5: Solve for x
    x = 8,241,825,440.25/59,346
  6. Step 6: Final answer
    x = 138,877.52

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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.