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Finding the Third Proportional to 60,516 and 93,326

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Solution

The third proportional to 60,516 and 93,326 is: 143,924.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,516 : 93,326 = 93,326 : x
  2. Step 2: Convert to fraction form
    60,516/93,326 = 93,326/x
  3. Step 3: Cross multiply
    60,516x = 93,326 × 93,326
  4. Step 4: Simplify right side
    60,516x = 8,709,742,276
  5. Step 5: Solve for x
    x = 8,709,742,276/60,516
  6. Step 6: Final answer
    x = 143,924.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.