Finding the Third Proportional to 97,803 and 161,820
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Solution
The third proportional to 97,803 and 161,820 is: 267,739.36
Step by Step Solution
- Step 1: Write the proportion equation
97,803 : 161,820 = 161,820 : x - Step 2: Convert to fraction form
97,803/161,820 = 161,820/x - Step 3: Cross multiply
97,803x = 161,820 × 161,820 - Step 4: Simplify right side
97,803x = 26,185,712,400 - Step 5: Solve for x
x = 26,185,712,400/97,803 - Step 6: Final answer
x = 267,739.36
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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.