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Finding the Third Proportional to 59,475 and 87,569.63

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Solution

The third proportional to 59,475 and 87,569.63 is: 128,935.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,475 : 87,569.63 = 87,569.63 : x
  2. Step 2: Convert to fraction form
    59,475/87,569.63 = 87,569.63/x
  3. Step 3: Cross multiply
    59,475x = 87,569.63 × 87,569.63
  4. Step 4: Simplify right side
    59,475x = 7,668,439,222.64
  5. Step 5: Solve for x
    x = 7,668,439,222.64/59,475
  6. Step 6: Final answer
    x = 128,935.51

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.