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Finding the Third Proportional to 93,577 and 130,963

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Solution

The third proportional to 93,577 and 130,963 is: 183,285.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,577 : 130,963 = 130,963 : x
  2. Step 2: Convert to fraction form
    93,577/130,963 = 130,963/x
  3. Step 3: Cross multiply
    93,577x = 130,963 × 130,963
  4. Step 4: Simplify right side
    93,577x = 17,151,307,369
  5. Step 5: Solve for x
    x = 17,151,307,369/93,577
  6. Step 6: Final answer
    x = 183,285.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.